Hello student.

A rank of 3288 rank with sc reservation is a bit low one to get in nit or iiit colleges. You have not mentioned that you belong to sc category. Due to the increasing competition it is important to score higher rank to get into the topo universities. But even with the reservation or any quota like home state quota, the chances of getting into top universities such as iits and nits are a bit low.

I suggest you to apply for state colleges or any other private institutions. There are pretty many good private institutions where you can apply, write the entrance test and get through.

Here are few good private institutions

1. Ssn college in chennai

2. Amrita institution in coimbatore

3. Psg college of engineering in coimbatore

4, cbit college in Hyderabad

5. Vasavi college

6. Sastra deemed to be a university in thanjavur

You can check your colleges using the link below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer